218736540000 has 900 divisors, whose sum is σ = 865316431980. Its totient is φ = 52388160000.

The previous prime is 218736539993. The next prime is 218736540013. The reversal of 218736540000 is 45637812.

218736540000 is a `hidden beast` number, since 2 + 1 + 87 + 36 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 2635379959 + ... + 2635380041.

Almost surely, 2^218736540000 is an apocalyptic number.

218736540000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218736540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432658215990).

218736540000 is an abundant number, since it is smaller than the sum of its proper divisors (646579891980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218736540000 is an frugal number, since it uses more digits than its factorization.

218736540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 218736540000 in words is "two hundred eighteen billion, seven hundred thirty-six million, five hundred forty thousand".